Answer:
The average speed on Monday is 27mph
Step-by-step explanation:
Given
Let:
[tex]1\to Sunday[/tex]
[tex]2\to Monday[/tex]
So:
[tex]t_1 = 5.4hr[/tex]
[tex]t_2 = 6hr[/tex]
[tex]s_2 = s_1 - 3[/tex] ---- average speed slower on Monday than Tuesday
Required
The average speed on Monday
Average speed is calculated as:
[tex]Speed = \frac{Distance}{Time}[/tex]
[tex]s = \frac{d}{t}[/tex]
Make d the subject
[tex]d = st[/tex]
On Sunday, we have:
[tex]d = s_1t_1[/tex]
[tex]d = s_1 * 5.4[/tex]
On Monday, we have:
[tex]d = s_2t_2[/tex]
[tex]d = s_2 * 6[/tex]
The distance traveled is constant;
So:
[tex]s_1 * 5.4 = s_2 * 6[/tex]
Make s1 the subject in: [tex]s_2 = s_1 - 3[/tex]
[tex]s_1=3+s_2[/tex]
So, we have:
[tex](3 + s_2) * 5.4 = s_2 * 6[/tex]
Open bracket
[tex]16.2 + 5.4s_2 = 6s_2[/tex]
Collect like terms
[tex]6s_2 - 5.4s_2 = 16.2[/tex]
[tex]0.6s_2 = 16.2[/tex]
Solve for s_2
[tex]s_2 = 16.2/0.6[/tex]
[tex]s_2 = 27[/tex]
The average speed on Monday is 27mph
The diameter of a circular swimming pool is 15 feet. Find the circumference.
12. A number from 1-30 is chosen at random.
What is the probability that the number is
not a prime number?
Answer:
2/3
Step-by-step explanation:
let S be number of sample space
n(S)= 30
n(not prime number) =20
Pr(not prime number)=20/30
=2/3
What is the horizontal asymptote of j (x) = StartFraction 14 x cubed + 45 Over 2 x cubed + x + 9 EndFraction
Answer:
C. y=7
Step-by-step explanation:
guy above me was right
The horizontal asymptote of the given function [tex]f(x) = \dfrac{14x^{3} +45}{2x^{3}+x+9}[/tex] would be y = 7.
When do we get horizontal asymptote for a function?The line y = a is a horizontal asymptote if the function f(x) tends to 'a' from the upside of that line y = a, or from downside of that line.
The given function is
[tex]f(x) = \dfrac{14x^{3} +45}{2x^{3}+x+9}[/tex]
We need to determine the horizontal asymptote.
Horizontal asymptote;
From the given function, it is obvious that the denominator's degree is smaller than the numerator's degree.
Then, the horizontal asymptote is the y-axis.
Thus, the horizontal asymptote is y = 7.
Learn more about horizontal asymptotes here:
https://brainly.com/question/2513623
#SPJ2
From a survey of the population of the United States, a circle graph was created. What is the ratio of whites to blacks according to the circle graph?
80 to 3
20 to 1
20 to 3
80 to 1
Answer:
20 to 3 or 20 : 3
Step-by-step explanation:
White : Black
= 80 : 12
= 80/12
= 20:3
an athlete completes one lap in 2/3 of a minute. if he runs at the same rate, how long will he take to coplete two whole number and a half laps?
Answer:
the time taken to complete two whole number and a half laps is
1 ²/₃ min
Step-by-step explanation:
Given;
time taken to complete 1 lap, = 2/3 minutes
The time taken to complete 2 and 1/2 laps is calculated as follows;
[tex]Time \ taken= \frac{2}{3 } \frac{\min}{lap} \ \times \ 2\frac{1}{2} laps\\\\Time \ taken = \frac{2}{3} \frac{\min}{lap} \ \times \ \frac{5 }{2} laps= \frac{5 }{3} \min = 1\frac{2}{3} \min[/tex]
Therefore, the time taken to complete two whole number and a half laps is
1 ²/₃ min
There are 20 pieces of candy in the box. If 15 of them are hard candies, what percentage of the candies in the box are hard candies?
Answer:percentage of the candies in the box that are hard candies=75%
Step-by-step explanation:
Total pieces of candy in the box=20
Number of candies that are hard =15
Percentage of candies that are hard =Number of candies that are hard / Total pieces of candy in the box x 100
= 15/20 x 100
=75%
Repost bcs last one wasnt clear BUT PLEASE HELPP 5 MINS LEFT
Answer:
[tex]m =13[/tex]
Step-by-step explanation:
Given
The attached dataset
Required
The mean absolute deviation
First, calculate the mean
[tex]\bar x = \frac{\sum x}{n}[/tex]
So, we have:
[tex]\bar x = \frac{42+40+39+76+71+55+68+65}{8}[/tex]
[tex]\bar x = \frac{456}{8}[/tex]
[tex]\bar x = 57[/tex]
The mean absolute deviation (m) is:
[tex]m =\frac{1}{n} \sum|x - \bar x|[/tex]
So, we have:
[tex]m =\frac{1}{8} (|42 - 57| + |40 - 57| + |39 - 57| + |76 - 57| + |71 - 57| + |55 - 57| + |68 - 57| + |65 - 57|)[/tex]
Using a calculator, we have:
[tex]m =\frac{1}{8} (|-15| + |-17| + |-18| + |19| + |14| + |-2| + |11| + |8|)[/tex]
Remove absolute bracket
[tex]m =\frac{1}{8} (15 + 17 + 18 + 19 + 14 + 2 + 11 + 8)[/tex]
[tex]m =\frac{1}{8} *104[/tex]
[tex]m =13[/tex]
The mean absolute deviation is 13
Ki has captured many yellow spotted salamanders he weighs each and then counts the number of yellow spots on its back This trend line is a blank fit for these data A strong B parabolic C negative D weak
Answer:
A. Strong
Step-by-step explanation:
Mark as Brainliest
We can describe 3x-2 as an expression how can we describe the parts of the expression that the arrows point to 3x-2
The part of the expression the arrow points to isn't shown in the question. However, a general description of the expression will be given to cover all parts of the expression.
Answer:
3 = slope or gradient
-2 = intercept
Step-by-step explanation:
The expression 3x - 2 is represented in the gradient intercept format:
The general format for a gradient intercept equation is :
mx + b
Where ;
m = Slope ; b = intercept
Comparing the expression with the general format given :
m = 3 = gradient or slope
b = - 2 = intercept
A construction company built a scale model of a new building. the model was built usinga scale of 3 inches= 32 feet. if the building is expected to be 200 feet tall, how tall is the model?
Answer: 18.75 inches
Step-by-step explanation:
Let the height of the model be represented by x. Therefore, based on the information given in the question, we can form an equation which will be:
3/x = 32/200
Cross multiply
32 × x = 200 × 3
32x = 600
x = 600/32
x = 18.75
Therefore, the height of the model is 18.75 inches
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
A. Region 3
B. Region 1
C. Region 4
D. Region 2
Answer:
B. Region 1
Step-by-step explanation:
because it is how much is their
Answer: region 3 i believe
Step-by-step explanation:
The average amount that a college student spends on a textbook is $205. What is the probability that a students spends between $10 and $310
Complete question :
The average amount that a college student spends on a textbook is $205 with a
standard deviation of $35. What is the probability that a student spends:
A. between $10 and $310?
Answer:
0.999
Step-by-step explanation:
Mean, m = 205 ; Standard deviation, s = 35
Z = (x - m) / s
x = 310
Z = (310 - 205) / 35 = 3
P(z < 3) = 0.99865
x = 10
Z = (10 - 205) / 35 = - 5.57
P(Z < - 5.5)
P(z < 3) - P(z < - 5.5)
0.99865 - 0
= 0.999
hi pls, help me with this, I am giving 15 points 10 for answering the question and 5 for telling me what is Q1 meaning and Q2 meaning ty!
The table below shows 10 data values:
125, 138, 132, 140, 136, 136, 126, 122, 135, 121
What values of minimum, Q1, median, Q3, and maximum should be used to make a box plot for this data?
A.) Minimum = 121, Q1 = 125, median = 133.5, Q3 = 136, maximum = 140
B.) Minimum = 121, Q1 =136, median = 133.5, Q3 = 125, maximum = 140
C.) Minimum = 125, Q1 = 130.25, median = 132.5, Q3 = 134.5, maximum = 138
D.) Minimum = 125, Q1 =134.5, median = 132.5, Q3 = 130.25, maximum = 138
Answer:
we have to put the numbers in order..
(121,122,125, 126,132),M,(135,136,136,138,140)
Step-by-step explanation:
minimum : (smallest number) = 121
Q1 : 125
Q2 (median) : (132 + 135) / 2 = 267/2 = 133.5
Q3 : 136
maximum : (largest number) = 140
I did this a long time ago so im not so sure
Answer:
Step-by-step explanation:
121 122 125 126 132 135 136 136 138 140
140 -121 =19 range
Min=121 max =140
Mean = 131.1
Median = 132+135=267/2=133.5
Find the area of the polygon.
I would like both answers and how to get them (show work).
Thanks!
Answer:
7. 15.5
8. 12
Step-by-step explanation:
Question 7 equation: [tex]\frac{3*1}{2} + \frac{5+2}{2} * 4=1.5 + 3.5 * 4 = 1.5 + 14 = 15.5[/tex].
Question 8 equation: [tex](\frac{2*2}{2} * 2) + (\frac{4*2}{2} *2) = 4 + 8 = 12.[/tex]
! URGENT EMERGENCY !
what is the value of x and y
pls help me on this !!!!!!!!!!!
Answer:
11.8 m
Step-by-step explanation:
2/3πr^3=1100π
r^3=1650
r=11.8
factoring trinomials 4x^2-15x-25
Answer:
For a polynomial of the form ax2+bx+c a x 2 + b x + c , rewrite the middle term as a sum of two terms whose product is a⋅c=4⋅−25=−100 a ⋅ c = 4 ⋅ - 25 ...
Step-by-step explanation:
An adult panda can eat 138 pounds of bamboo each day how much can the panda eat in a week show ur answer in area model
Answer:
966 pounds
Step-by-step explanation:
An adult panda can eat 138 pounds of bamboo each day
The amount to br consmed in a week can be calculated as follows
7 days= 1 week
= 138×7
= 966 pounds
Hencr the amount consumed in a week is 966 pounds
find the smallest 4 digit number that can be formed with the digits 0,4, 2 and 6
Answer:
dgjkgc!vhlyj do gjgmnnnhchvgjffjhvhfkjufug
1. Evan does some shopping at a market.
(a) Evan has a bag of oranges that weighs 2.4 pounds. He has another bag of oranges that weighs 1.74 pounds. Describe how to use this model to find the total weight of the two bags of oranges.
Answer:
4.14
Step-by-step explanation:
the orange is 1 pound
the green is 0.1 pound
the blue is 0.01 pound
3 orange is 3
11 green is 1.1
4 blue is 0.04
3+1.1+0.04=4.14
hope that made sense
Simplify the following exponential expressions:
1. 6y^3 x 5y^6
2. 8x^5 x 3x^2
3. 7m^4 x 3m x 5m^2
4. 10d^7 x 5d^0
Answer:
See below
Step-by-step explanation:
[tex]1. \: 6 {y}^{3} \times 5 {y}^{6} \\ = 6 \times 5 \times {y}^{3 + 6} \\ = 30 {y}^{9} \\ \\ 2. \: 8 {x}^{5} \times 3 {x}^{2} \\ = 8 \times 3 \times {x}^{5 + 2} \\ = 24 {x}^{7} \\ \\ 3. \: 7m^4 \times 3m \times 5m^2 \\ = 105 {m}^{4 + 1 + 2} \\ = 105 {m}^{7} \\ \\ 4. \: 10d^7 \times 5d^0 \\ = 10 \times 5 \times {d}^{7 + 0} \\ = 50 {d}^{7} [/tex]
difference between the median and mean scores.
Answer:
Mean = sum of the terms/ number of terms
Median is the middle number of the data
Step-by-step explanation:
What is the area of the figure Enter in the box
M2
Can you help me? If you can I would be very appreciated if you tell me how you got the answer!? If you can’t it’s totally fine. Also making Brainly questions and 50 points!
Answer:
Total Area = 532 m²
Step-by-step explanation:
Triangle = ½bh.
Rectangle = lw.
Total Area = sum of individual areas =
(8 m × 16 m) / 2 + (16 m × 18 m) / 2
+ (18 m × 18 m) =
(64 m²) + (144 m²) + (324 m²) =
532 m²
Need help ASAP! I’m very confused!
Answer:
4 would be your answer
Step-by-step explanation:
brainlesit pls
How can you find out 2 1/2 and 10/4 name the same amount?
Answer:
Simplify 10/4
Step-by-step explanation:
10/4 divided by 2/2 = 5/2
5/2 simplified equals 2 1/2
As 2 can go into 5 twice but only have 1 left
The product of face values of 5 and 9 in the number 45,291 is
Answer:
45
Step-by-step explanation:
Because it's face values
If it was place values then it would be 5000 x 90 but since its face values it is 5 x 9 as face values is the number itself
please answer the following question
Step-by-step explanation:
volume= y×9×10=2700
90y=2700
y= 2700/90
y= 30 cm
16. What is the volume of this prism? 3 cm 6 cm 2.65 cm 3 cm 6 cm
Answer:
859cm³
Step-by-step explanation:
Volume=mass
density
f(x)= x^2
g(x) 1/2 x^2
Which option could show the graphs of f and g?
Answer:
The answer is D
Step-by-step explanation:
What is partial fraction decomposition?
Explain this and provide an example, please
thank you :)
Answer:
Partial-fraction decomposition is the process of starting with the simplified answer and taking it back apart, of "decomposing" the final expression into its initial polynomial fractions.
For example, Partial fraction decomposition is used to integrate rational functions and in engineering for finding inverse Laplace transforms.
Step-by-step explanation: